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Finding the Third Proportional to 10.27 and 23.20

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Solution

The third proportional to 10.27 and 23.20 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.27 : 23.20 = 23.20 : x
  2. Step 2: Convert to fraction form
    10.27/23.20 = 23.20/x
  3. Step 3: Cross multiply
    10.27x = 23.20 × 23.20
  4. Step 4: Simplify right side
    10.27x = 538.39
  5. Step 5: Solve for x
    x = 538.39/10.27
  6. Step 6: Final answer
    x = 52.45

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.